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Yayın Space-like surfaces in the Minkowski Space E-1(4) with pointwise 1-type Gauss maps(Springer, 2019-06) Dursun, Uğur; Turgay, Nurettin CenkWe first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces with pointwise 1-type Gauss maps of the first kind. We also give some explicit examples.Yayın Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures(Mathematical Society of The Repulic Of China, 2016-12) Dursun, Uğur; Turgay, Nurettin CenkIn this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.
